Dimensional formula of thermal conductivity

Thermal conductivity
[M L T−3 K−1]
Written in full: [M¹ L¹ T⁻³ A⁰ K⁻¹]

How to derive it

Thermal conductivity = Heat flow rate × Length ÷ (Area × Temperature difference)

Put in the dimensions of each part: [ML²T⁻³] × [L] ÷ ([L²] × [K]) = [M L T⁻³ K⁻¹].

mass (M)
1
length (L)
1
time (T)
-3
current (A)
0
temperature (K)
-1

SI unit

The SI unit of thermal conductivity is W/(m·K).

Same dimensions as thermal conductivity

None of the other quantities on this site share these exact dimensions.

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More from Thermal properties

QuantityFormula
Specific heat capacity[L2 T−2 K−1]
Latent heat[L2 T−2]
Coefficient of linear expansion[K−1]
Stefan–Boltzmann constant[M T−3 K−4]